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Finding the Fourth Proportional to 8,234.95, 12,348.22 and 2,684.73

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Solution

The fourth proportional to 8,234.95, 12,348.22 and 2,684.73 is: 4,025.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.95 : 12,348.22 = 2,684.73 : x
  2. Step 2: Convert to fraction form
    8,234.95/12,348.22 = 2,684.73/x
  3. Step 3: Cross multiply
    8,234.95x = 12,348.22 × 2,684.73
  4. Step 4: Simplify right side
    8,234.95x = 33,151,636.68
  5. Step 5: Solve for x
    x = 33,151,636.68/8,234.95
  6. Step 6: Final answer
    x = 4,025.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.